Abstract: Nonlinear mapping analysis is a mathematical method of "geometric diagram with descended dimensions",The geomatric diagram is transformed from the muitidirnensional spaceinto a lower dirnensional space by nonlinear transform,so as to directly perceive the relationship of the samples in the low dimensional space.Every factor effecting the sealitig ability of fault is regarded as one dirnensional coordinate in the multidimensional space,every fault is a point in the multidimensional space. If thesealing abilities are similar,the positions of the faults in the space are close one another.After nonlinear mapping analysis,on the conditions of keeping approximately the geometric relationship among the faults,the rnultidimensional space can be transformed into a plane. Thesimilar faults in sealing ability are close on the plane.The faults with sealing abilities known and unknown are simultaneously analysed according to the positions of the evaluated faults on the plane,the sealing abilities of the faultsmay be accurately evaluated.

Key words: nonlinear, analysis, faults, sealing ability

摘要： 非线性映射分析是一种“几何图像降维”的数学方法.在近似保持样品点间关系的基础上,通过非线性变换后将高维空间中几何图像转换到二维平面上,以直观考察各样品点间的关系.把多个影响断层封闭性的因素看成是多维坐标,则每条断层即是这多维空间中的一个点.封闭能力近似的断层,所在坐标中空间位置相近,经非线性映射降维之后,封闭能力相似的断层在二维平面中具相近的位置关系.将已知封闭性断层与被判断封闭性断层一同作非线性映射分析,根据被判断断层所落入点群的位置,可较准确地判断出断层的封闭性能.

关键词: 非线性, 分析, 断层, 封闭性